Finite Math with Applications

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This edition ofFiniteMathematics with Applicationscontinues to be an excellent learning tool for applied mathematics students. As always, the text includes the popular margin exercises as well as comprehensive review of algebraic topics, but with this revision comes the fresh insight of a new co-author. This new edition is all that you need and more.

Preface

ix

To the Student

xvii

Algebra and Equations

1

(70)

The Real Numbers

2

(10)

Polynomials

12

(7)

Factoring

19

(7)

Rational Expressions

26

(6)

Exponents and Radicals

32

(13)

First-Degree Equations

45

(11)

Quadratic Equations

56

(15)

Summary

65

(1)

Review Exercises

66

(3)

Consumers Often Defy Common Sense

69

(2)

Graphs, Lines, and Inequalities

71

(58)

Graphs

72

(11)

Equations of Lines

83

(13)

Linear Models

96

(11)

Linear Inequalities

107

(8)

Polynomial and Rational Inequalities

115

(14)

Summary

122

(1)

Review Exercises

123

(3)

Using Extrapolation to Predict Life Expectancy

126

(3)

Functions and Graphs

129

(75)

Functions

130

(9)

Graphs of Functions

139

(12)

Applications of Linear Functions

151

(12)

Quadratic Functions

163

(8)

Applications of Quadratic Functions

171

(8)

Polynomial Functions

179

(9)

Rational Functions

188

(16)

Summary

198

(1)

Review Exercises

199

(4)

Architectural Arches

203

(1)

Exponential and Logarithmic Functions

204

(45)

Exponential Functions

205

(10)

Applications of Exponential Functions

215

(7)

Logarithmic Functions

222

(10)

Logarithmic and Exponential Equations

232

(17)

Summary

242

(1)

Review Exercises

243

(4)

Characteristics of the Monkeyface Prickleback

247

(2)

Mathematics of Finance

249

(46)

Simple Interest and Discount

250

(6)

Compound Interest

256

(12)

Future Value of an Annuity and Sinking Funds

268

(10)

Present Value of an Annuity and Amortization

278

(17)

Summary

287

(2)

Review Exercises

289

(4)

Time, Money, and Polynomials

293

(2)

Systems of Linear Equations and Matrices

295

(72)

Systems of Linear Equations

296

(18)

The Gauss-Jordan Method

314

(11)

Basic Matrix Operations

325

(8)

Matrix Products and Inverses

333

(14)

Applications of Matrices

347

(20)

Summary

360

(1)

Review Exercises

361

(4)

Matrix Operations and Airline Route Maps

365

(2)

Linear Programming

367

(74)

Graphing Linear Inequalities in Two Variables

368

(8)

Linear Programming: The Graphical Method

376

(8)

Applications of Linear Programming

384

(7)

The Simplex Method: Maximization

391

(14)

Maximization Applications

405

(6)

The Simplex Method: Duality and Minimization

411

(11)

The Simplex Method: Nonstandard Problems

422

(19)

Summary

435

(1)

Review Exercises

436

(3)

Cooking with Linear Programming

439

(2)

Sets and Probability

441

(68)

Sets

442

(9)

Applications of Venn Diagrams

451

(10)

Introduction to Probability

461

(8)

Basic Concepts of Probability

469

(11)

Conditional Probability and Independent Events

480

(14)

Bayes' Formula

494

(15)

Summary

501

(1)

Review Exercises

502

(5)

Medical Diagnosis

507

(2)

Counting, Probability Distributions, and Further Topics in Probability